‘It is less than that of the earth’ statement is true regarding the Moons’ Gravity. The moon is 1/4 the size of Earth, so the moons’ gravity is much less than the earth’s gravity 83.3% less to be exact. If your weight is 50 kilogram on earth, then on the moon will be 8.3 kilograms.
According to Newton’s Third Law of Motion, the law of Action and Reaction, if the Earth exerts a force on the Moon, the Moon must exert an equal and opposite force on the Earth. Newton’s Law of Gravity implies the same thing, as its mathematical formula,
F=GmM/r2